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Finding the Fourth Proportional to 16,381.80, 24,568.20 and 4,532.76

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Solution

The fourth proportional to 16,381.80, 24,568.20 and 4,532.76 is: 6,797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.80 : 24,568.20 = 4,532.76 : x
  2. Step 2: Convert to fraction form
    16,381.80/24,568.20 = 4,532.76/x
  3. Step 3: Cross multiply
    16,381.80x = 24,568.20 × 4,532.76
  4. Step 4: Simplify right side
    16,381.80x = 111,361,754.23
  5. Step 5: Solve for x
    x = 111,361,754.23/16,381.80
  6. Step 6: Final answer
    x = 6,797.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.